Question 685486
1	x	+	3	y	=	11	.............1	
								
4	x	+	1	y	=	6	.............2	
Eliminate	y							
multiply (1)by		1						
Multiply (2) by		-3						
1	x		3	y	=	11		
-12	x		-3	y	=	-18		
Add the two equations								
-11	x				=	-7		
/	-11							
x	=	1						
plug value of			x	in (1)				
1	x	+	3	y	=	11		
1		+	3	y	=	11		
			3	y	=	11		-1
			3	y	=	10		
				y	=	3		
x=	1						
y=	3	

(1,3) is the solution.


If (3,-6) is a solution then it must satisfiy both equations.
plug (3,-6) in one of the equations
x+3y=11

3+(-6)3=-15. 

This is not equal to 11 hence (3,-6) is not the solution of this system				
m.ananth@hotmail.ca